Question

A man has five resistors each of value $\frac{1}{5}\Omega$. What is the maximum resistance he can obtain by connecting them?

• A. $1\Omega$
• B. $5\Omega$
• C. $\frac{1}{2}\Omega$
• D. $\frac{2}{5}\Omega$

Answer 1

The correct option is A $1\Omega$

Maximum resistance is obtained when all the resistors are connected in series.

Effective resistance $R_{max}=R+R+R+R+R=5R$

$\therefore$ $R_{max}=5\times \frac{1}{5}=1\Omega$